33379808 has 192 divisors, whose sum is σ = 92897280. Its totient is φ = 11404800.

The previous prime is 33379807. The next prime is 33379817. The reversal of 33379808 is 80897333.

It is a super-2 number, since 2×33379808² = 2228423164233728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33379807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076753 + ... + 1076783.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^33379808 is an apocalyptic number.

33379808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33379808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

33379808 is an abundant number, since it is smaller than the sum of its proper divisors (59517472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33379808 is a wasteful number, since it uses less digits than its factorization.

33379808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 33379808 is about 5777.5261141772. The cubic root of 33379808 is about 321.9792947349.

The spelling of 33379808 in words is "thirty-three million, three hundred seventy-nine thousand, eight hundred eight".